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dtan5457
 one year ago
If y^3x=27, compute exactly 7^2x+1
dtan5457
 one year ago
If y^3x=27, compute exactly 7^2x+1

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dan815
 one year ago
Best ResponseYou've already chosen the best response.2y^(3x)=27, compute exactly 7^(2x)+1?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1So then you need to figure out x and then plug that xvalue into \(7^{2x}+1\) ?

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0the +1 is part of the exponent

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0what would be the steps to attempt to solve this though

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1OK dan can you help me for a sec

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1How do you make the exponent of y positive without putting it over 1

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1wow that was dumb lol.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\text{If } y^{3x}=27, \text{ compute exactly } 7^{2x+1} \] Are we given anything else? Like are we given any restrictions on x and y?

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0no thats all is given

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[y^{3x}=27 \\ y^{3x}=\frac{1}{27} \\ y^{3x}=3^{3} \\ \ln(y^{3x})=\ln(3^{3}) \\ 3x \ln(y)=\ln(3^{3}) \\ 3x \ln(y)=3 \ln(3) \\ \text{ solve for } x \\ \text{ then replace } x \text{ in } 7^{2x+1}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1instructions seem weird it seems like it is looking for like a constant value

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{1}{y^{3x}} = 27 \]\[ y^{3x} = \frac{1}{27}\]\[\ln(y^{3x}) = \ln\left(\frac{1}{27}\right)\]\[3x\ln(y)=\ln(27)\]\[\ln(y)=\frac{\ln(27)}{3x}\]\[e^{\ln(y)} =e^{\frac{\ln(27)}{3x}}\]\[y=e^{\frac{\ln(y)}{3x}}\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1darnit, took me forever to write out in latex :\ bummer

freckles
 one year ago
Best ResponseYou've already chosen the best response.1but as @dan815 said it isn't

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0its alright ill just skip this question until my teacher can explain it tomorrow

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1typo, meant to write \(\ln(27)\) and i wrote \(ln(y)\) lol.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1this is question come from a book @dtan5457

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0no just a worksheet written by my teacher

freckles
 one year ago
Best ResponseYou've already chosen the best response.1would it be difficult for you to post an attachment of it here?

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0im not sure about that as my scanner cant be used at the moment but ill probably have a few more questions from it later

dtan5457
 one year ago
Best ResponseYou've already chosen the best response.0none of the questions are directly similar but its all pre calc and some trig

freckles
 one year ago
Best ResponseYou've already chosen the best response.1this is prettiest I can make it \[7^{\log_y(\frac{y}{9})}\] but I don't know if it matches the directions to "compute exactly"
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